SU(2) gauge symmetry and anomaly of the S = 12 antiferromagnetic Heisenberg model in 2 + 1 dimensions |
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| Institution: | 1. State Key Laboratory of Oncology in South China, Guangdong Key Laboratory of Nasopharyngeal Carcinoma Diagnosis and Therapy, Guangdong Provincial Clinical Research Center for Cancer, Sun Yat-sen University Cancer Center, Guangzhou 510060, China;2. Costa Rican Agency for Biomedical Investigation, INCIENSA Foundation, San Jose 10108, Costa Rica;1. COMP Centre of Excellence, Department of Applied Physics, Aalto University School of Science, PO Box 11100, 00076 Aalto, Finland;2. Department of Applied Physics, Aalto University School of Science, PO Box 15100, 00076 Aalto, Finland |
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| Abstract: | On the basis of the local SU (2) symmetry of the Heisenberg model, we show that the model, in a continuum limit, reduces to a problem of massless fermions coupled to an SU(2) gauge field in three space-time dimensions. The effective gauge field action changes by ± π ⦶ n ⦶ under a large gauge transformation with winding number n. To restore the gauge invariance, a parity- nonconserving, topological term is needed in the effective action. The physical implications are conjectured. |
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